Question

suppose the top of a dangling chain of length 5 meters is half way down the side of a 100 meter building, and has a mass density of 10 kg/m. find the amount of work it will take to haul the chain up the side of the building to the roof (leave your answer in terms of the gravitational constant g.)

Answer 1

The amount of work needed to haul the chain up the side of the building can be calculated using the formula Work = Force × Distance, where Force is equal to the weight of the chain and Distance is the height of the building.

Step-by-step explanation:

To find the amount of work needed to haul the chain up the side of the building, we can use the formula for work which is given by:

Work = Force × Distance

In this case, the force required to lift the chain is equal to the weight of the chain, which can be calculated as the density of the chain multiplied by its length and the acceleration due to gravity (g). Therefore, the force is equal to 10 kg/m × 5 m × g. The distance is the height of the building, which is 100 meters. Substituting these values into the formula, we get:

Work = (10 kg/m × 5 m × g) × 100 m

Therefore, the amount of work it will take to haul the chain up the side of the building is (10 kg/m × 5 m × g) × 100 m or 5000 kg × g × m (in terms of the gravitational constant g).